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Finding the Fourth Proportional to 5,830.68, 8,748.18 and 2,712.36

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Solution

The fourth proportional to 5,830.68, 8,748.18 and 2,712.36 is: 4,069.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830.68 : 8,748.18 = 2,712.36 : x
  2. Step 2: Convert to fraction form
    5,830.68/8,748.18 = 2,712.36/x
  3. Step 3: Cross multiply
    5,830.68x = 8,748.18 × 2,712.36
  4. Step 4: Simplify right side
    5,830.68x = 23,728,213.50
  5. Step 5: Solve for x
    x = 23,728,213.50/5,830.68
  6. Step 6: Final answer
    x = 4,069.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.